Its very common question.
Domain and hosting both are totally difference thing. The nameservers (E.g. NS1.somename.com, NS2.somename.com) connect the both domain registration and hosting.
Domain transfer means you will transfer your domain name i.e. myowncompany.com to Trafficpullz. After transfering your domain you have to manage your domain nameservers, whois info from Trafficpullz (galaxy.trafficpullz.com) control Panel only. And you will not be required to contact old service provider in future.
Web Hosting transfer means You will transfer only your website contents and email services to Trafficpullz. You have to manage your domain nameservers, whois info from current registrar control Panel only. And you require to renew domain name only with them.
